The secrecy capacity per-unit cost of the Gaussian MIMOME channel is the maximum achievable number of bits per unit cost that can be transmitted reliably to the legitimate receiver while leaking asymptotically no information to the eavesdropper. Assuming that a zero cost is assigned to one symbol of the input alphabet and that the eavesdropper channel is known to both sender and legitimate receiver, we derive a single letter expression for the secrecy capacity per-unit cost for the MIMOME channel.